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Enzymes show two distinct transport behaviors in the presence of their substrates in solution. First, their diffusivity enhances with increasing substrate concentration. In addition, enzymes perform directional motion toward regions with…

Biological Physics · Physics 2018-11-06 Farzad Mohajerani , Xi Zhao , Ambika Somasundar , Darrell Velegol , Ayusman Sen

In this paper, we consider the dynamics of a 2D target-searching agent performing Brownian motion under the influence of fluid shear flow and chemical attraction. The analysis is motivated by numerous situations in biology where these…

Probability · Mathematics 2022-05-31 Yishu Gong , Siming He , Alexander Kiselev

Active particles with their characteristic feature of self-propulsion are regarded as the simplest models for motility in living systems. The accumulation of active particles in low activity regions has led to the general belief that…

Soft Condensed Matter · Physics 2021-05-26 Hidde D. Vuijk , Holger Merlitz , Michael Lang , Abhinav Sharma , Jens-Uwe Sommer

Flagellated bacteria, such as Escherichia coli, perform directed motion in gradients of concentration of attractants and repellents in a process called chemotaxis. The E. coli chemotaxis signaling pathway is a model for signal transduction,…

Biological Physics · Physics 2015-03-11 Anne-Florence Bitbol , Ned S. Wingreen

The ability to navigate in complex, inhomogeneous environments is fundamental to survival at all length scales, giving rise to the rapid development of various subfields in bio-locomotion such as the well established concept of chemotaxis.…

Soft Condensed Matter · Physics 2020-05-06 Yuanjian Zheng , Hartmut Löwen

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

Many experiments in recent years have reported that, when exposed to their corresponding substrate, catalytic enzymes undergo enhanced diffusion as well as chemotaxis (biased motion in the direction of a substrate gradient). Among other…

Soft Condensed Matter · Physics 2020-11-17 Jaime Agudo-Canalejo , Ramin Golestanian

One of simplest examples of navigation found in nature is run-and-tumble chemotaxis. Tumbles reorient cells randomly, and cells can drift toward attractants or away from repellents by biasing the frequency of these events. The post-tumble…

Soft Condensed Matter · Physics 2017-09-14 Julius B. Kirkegaard , Raymond E. Goldstein

We present simulations of evacuation processes using a recently introduced cellular automaton model for pedestrian dynamics. This model applies a bionics approach to describe the interaction between the pedestrians using ideas from…

Statistical Mechanics · Physics 2015-06-24 Ansgar Kirchner , Andreas Schadschneider

In many situations, simply finding a target during a search is not enough. It is equally important to be able to return to that target repeatedly or to enable a larger community to locate and utilize it. While first passage time is commonly…

Soft Condensed Matter · Physics 2025-07-16 Vladimir Yu. Rudyak , Shahar Shinehorn , Yael Roichman

Conspectus: The ability to navigate in chemical gradients, called chemotaxis, is crucial for the survival of microorganisms. It allows them to find food and to escape from toxins. Many microorganisms can produce the chemicals to which they…

Soft Condensed Matter · Physics 2018-10-03 Benno Liebchen , Hartmut Löwen

Chemotaxis, the movement of an organism in response to chemical stimuli, is a typical feature of many microbiological systems. In particular, the social amoeba \textit{Disctyostelium discoideum} is widely used as a model organism, but it is…

Cell Behavior · Quantitative Biology 2025-08-04 Daniele Proverbio , Marco Maggiora

Colonies of bacteria grown on thin agar plate exhibit fractal patterns as a result of adaptation to their environments. The bacterial colony pattern formation is regulated crucially by chemotaxis, the movement of cells along a chemical…

Biological Physics · Physics 2013-05-24 Waipot Ngamsaad , Kannika Khompurngson

We experimentally and numerically study the dependence of different navigation strategies regarding the effectivity of an active particle to reach a predefined target area. As the only control parameter, we vary the particle's propulsion…

Soft Condensed Matter · Physics 2016-07-13 Daniel F B Haeufle , Tobias Bäuerle , Jakob Steiner , Lena Bremicker , Syn Schmitt , Clemens Bechinger

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

Complex spatial patterns in biological systems often arise through self-organization without a central coordination, guided by local interactions and chemical signaling. In this study, we explore how motility-dependent chemical deposition…

Biological Physics · Physics 2025-04-24 Subhashree Subhrasmita Khuntia , Debasish Chaudhuri , Abhishek Chaudhuri

We present a principled data-driven strategy for learning deterministic hydrodynamic models directly from stochastic non-equilibrium active particle trajectories. We apply our method to learning a hydrodynamic model for the propagating…

Soft Condensed Matter · Physics 2022-01-24 Suryanarayana Maddu , Quentin Vagne , Ivo F. Sbalzarini

One of the most important findings in the study of chemotactic process is self-organized cellular aggregation, and a high volume of results are devoted to the analysis of a concentration of single species. Whereas, the multi-species case is…

Analysis of PDEs · Mathematics 2025-02-20 Fanze Kong , Juncheng Wei , Liangshun Xu

Models for chemotaxis are based on gradient sensing of individual organisms. The key contribution of Keller and Segel is showing that erratic movements of individuals may result in an accurate chemotaxis phenomenon as a group. In this paper…

Populations and Evolution · Quantitative Biology 2013-07-31 Changwook Yoon , Yong-Jung Kim
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